42432224120 has 128 divisors (see below), whose sum is σ = 112632569280. Its totient is φ = 14183424000.

The previous prime is 42432224099. The next prime is 42432224161. The reversal of 42432224120 is 2142223424.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42432224120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1363130 + ... + 1393910.

Almost surely, 2^42432224120 is an apocalyptic number.

42432224120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42432224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56316284640).

42432224120 is an abundant number, since it is smaller than the sum of its proper divisors (70200345160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42432224120 is a wasteful number, since it uses less digits than its factorization.

42432224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31057 (or 31053 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 42432224120 its reverse (2142223424), we get a palindrome (44574447544).

The spelling of 42432224120 in words is "forty-two billion, four hundred thirty-two million, two hundred twenty-four thousand, one hundred twenty".